Chip breaker distance given Chip breaker wedge angle Calculator

✖The Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.ⓘ Radius of Chip Curvature [r_chip]			+10% -10%
✖Chip Breaker Wedge Angle is the angle between the face and flank surface of a single-point cutting tool.ⓘ Chip Breaker Wedge Angle [σ]			+10% -10%
✖Chip breaker height is defined as the height of the chip breaker on the tool.ⓘ Chip Breaker Height [h]			+10% -10%
✖The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.ⓘ Length of Chip Tool Contact [l_f]			+10% -10%

✖Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker.ⓘ Chip breaker distance given Chip breaker wedge angle [l_n]

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Formula

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Chip breaker distance given Chip breaker wedge angle

Formula

`"l"_{"n"} = "r"_{"chip"}/cot("σ"/(2))+("h"*cot("σ"))+"l"_{"f"}`

Example

`"3.722113mm"="4.2mm"/cot("0.81rad"/(2))+("0.8mm"*cot("0.81rad"))+"1.16mm"`

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Chip breaker distance given Chip breaker wedge angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact
l_n = r_chip/cot(σ/(2))+(h*cot(σ))+l_f
This formula uses 1 Functions, 5 Variables

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(Angle)

Variables Used

Chip-Breaker Distance - (Measured in Meter) - Chip-Breaker Distance is defined as the distance between the tool point and the chip breaker.
Radius of Chip Curvature - (Measured in Meter) - The Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker.
Chip Breaker Wedge Angle - (Measured in Radian) - Chip Breaker Wedge Angle is the angle between the face and flank surface of a single-point cutting tool.
Chip Breaker Height - (Measured in Meter) - Chip breaker height is defined as the height of the chip breaker on the tool.
Length of Chip Tool Contact - (Measured in Meter) - The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.

STEP 1: Convert Input(s) to Base Unit

Radius of Chip Curvature: 4.2 Millimeter --> 0.0042 Meter (Check conversion here)
Chip Breaker Wedge Angle: 0.81 Radian --> 0.81 Radian No Conversion Required
Chip Breaker Height: 0.8 Millimeter --> 0.0008 Meter (Check conversion here)
Length of Chip Tool Contact: 1.16 Millimeter --> 0.00116 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_n = r_chip/cot(σ/(2))+(h*cot(σ))+l_f --> 0.0042/cot(0.81/(2))+(0.0008*cot(0.81))+0.00116

Evaluating ... ...

l_n = 0.00372211264486055

STEP 3: Convert Result to Output's Unit

0.00372211264486055 Meter -->3.72211264486055 Millimeter (Check conversion here)

FINAL ANSWER

3.72211264486055 ≈ 3.722113 Millimeter <-- Chip-Breaker Distance

(Calculation completed in 00.004 seconds)

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Home » Engineering » Production Engineering » Metal Machining » Metal Machining Dynamics » Chip Control » Chip breaker distance given Chip breaker wedge angle

Credits

Created by Parul Keshav

National Institute of Technology (NIT), Srinagar

Parul Keshav has created this Calculator and 300+ more calculators!

Verified by Kumar Siddhant

Indian Institute of Information Technology, Design and Manufacturing (IIITDM), Jabalpur

Kumar Siddhant has verified this Calculator and 100+ more calculators!

< 25 Chip Control Calculators

Chip breaker height given Chip breaker wedge angle

Go Chip Breaker Height = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))))/cot(Chip Breaker Wedge Angle)

Radius of Chip given Chip breaker wedge angle

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)-(Chip Breaker Height*cot(Chip Breaker Wedge Angle)))*cot(Chip Breaker Wedge Angle/(2))

Length of chip tool contact given Chip breaker wedge angle

Go Length of Chip Tool Contact = Chip-Breaker Distance-(Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2)))-(Chip Breaker Height*cot(Chip Breaker Wedge Angle))

Chip breaker distance given Chip breaker wedge angle

Go Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact

Length of chip tool contact given radius of chip curvature

Go Length of Chip Tool Contact = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Chip breaker distance given radius of chip curvature

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Length of Chip Tool Contact

Chip break distance when material constant is unity

Go Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness

Chip Thickness when material constant is unity

Go Chip Thickness = Chip-Breaker Distance-sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))

Radius of Chip curvature

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Length of Chip Tool Contact)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Radius of Chip curvature when material constant is unity

Go Radius of Chip Curvature = ((Chip-Breaker Distance-Chip Thickness)^2)/(2*Chip Breaker Height)+(Chip Breaker Height/2)

Density of Workpiece given Thickness of Chip

Go Density of work piece = Mass of Chip/(Chip Thickness*Length of Chip*Width of Chip)

Length of Chip using Thickness of Chip

Go Length of Chip = Mass of Chip/(Chip Thickness*Width of Chip*Density of work piece)

Width of Chip given Thickness of Chip

Go Width of Chip = Mass of Chip/(Length of Chip*Chip Thickness*Density of work piece)

Chip Thickness

Go Chip Thickness = Mass of Chip/(Length of Chip*Width of Chip*Density of work piece)

Mass of Chip given Thickness of Chip

Go Mass of Chip = Chip Thickness*Length of Chip*Width of Chip*Density of work piece

Metal Removal Rate given Specific Cutting Energy

Go Metal removal rate = Rate of Energy Consumption during Machining/Specific Cutting Energy in Machining

Undeformed Chip Thickness using Length of Shear Plane of Chip

Go Undeformed Chip Thickness = Length of Shear Plane*sin(Shear angle)

Length of Shear Plane of Chip

Go Length of Shear Plane = Undeformed Chip Thickness/sin(Shear angle)

Cross Sectional Area of Uncut chip using Specific Cutting energy in Machining

Go Cross-sectional Area of Uncut Chip = Cutting Force/Specific Cutting Energy in Machining

Chip thickness given length of chip tool contact

Go Chip Thickness = Length of Chip Tool Contact/Material Constant

Undeformed Chip Thickness using Cutting Ratio

Go Undeformed Chip Thickness = Cutting Ratio*Uncut Chip Thickness

Constant for length of chip tool contact

Go Material Constant = Length of Chip Tool Contact/Chip Thickness

Chip Thickness given Cutting Ratio

Go Uncut Chip Thickness = Undeformed Chip Thickness/Cutting Ratio

Length of chip tool contact

Go Length of Chip Tool Contact = Chip Thickness*Material Constant

Cutting Ratio

Go Cutting Ratio = Undeformed Chip Thickness/Uncut Chip Thickness

Chip breaker distance given Chip breaker wedge angle Formula

Why should chips be broken up?

Bad chip breaking also affects productivity. Long chips take up more room in the hopper, which requires it to be emptied more often, but it's not as full in terms of weight of chips. When combined with the time lost due to stopping the machine and removing chips, productivity is reduced and per-part costs are higher.

How to Calculate Chip breaker distance given Chip breaker wedge angle?

Chip breaker distance given Chip breaker wedge angle calculator uses Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact to calculate the Chip-Breaker Distance, The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker. Chip-Breaker Distance is denoted by l_n symbol.

How to calculate Chip breaker distance given Chip breaker wedge angle using this online calculator? To use this online calculator for Chip breaker distance given Chip breaker wedge angle, enter Radius of Chip Curvature (r_chip), Chip Breaker Wedge Angle (σ), Chip Breaker Height (h) & Length of Chip Tool Contact (l_f) and hit the calculate button. Here is how the Chip breaker distance given Chip breaker wedge angle calculation can be explained with given input values -> 3722.113 = 0.0042/cot(0.81/(2))+(0.0008*cot(0.81))+0.00116.

FAQ

What is Chip breaker distance given Chip breaker wedge angle?

The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker and is represented as l_n = r_chip/cot(σ/(2))+(h*cot(σ))+l_f or Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact. The Radius of Chip Curvature is the constant radius of curvature maintained by the chip until it breaks away or clears the chip breaker, Chip Breaker Wedge Angle is the angle between the face and flank surface of a single-point cutting tool, Chip breaker height is defined as the height of the chip breaker on the tool & The Length of Chip Tool Contact is the distance over which a continuous chip flows over the tool rake face while maintaining contact.

How to calculate Chip breaker distance given Chip breaker wedge angle?

The Chip breaker distance given Chip breaker wedge angle is defined as the distance between the tool point and the chip breaker is calculated using Chip-Breaker Distance = Radius of Chip Curvature/cot(Chip Breaker Wedge Angle/(2))+(Chip Breaker Height*cot(Chip Breaker Wedge Angle))+Length of Chip Tool Contact. To calculate Chip breaker distance given Chip breaker wedge angle, you need Radius of Chip Curvature (r_chip), Chip Breaker Wedge Angle (σ), Chip Breaker Height (h) & Length of Chip Tool Contact (l_f). With our tool, you need to enter the respective value for Radius of Chip Curvature, Chip Breaker Wedge Angle, Chip Breaker Height & Length of Chip Tool Contact and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Chip-Breaker Distance?

In this formula, Chip-Breaker Distance uses Radius of Chip Curvature, Chip Breaker Wedge Angle, Chip Breaker Height & Length of Chip Tool Contact. We can use 2 other way(s) to calculate the same, which is/are as follows -

Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Length of Chip Tool Contact
Chip-Breaker Distance = sqrt((Radius of Chip Curvature*2*Chip Breaker Height)-(Chip Breaker Height^2))+Chip Thickness

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